A316278 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

2, 98, 846, 9540, 102072, 1099200, 11834419, 127394654, 1371525369, 14765079451, 158956027249, 1711258284851, 18422775316445, 198332744556877, 2135176804013451, 22986522608460273, 247464390122226809

Offset

1,1

Comments

Column 4 of A316282.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 7*a(n-1) +52*a(n-2) -19*a(n-3) -854*a(n-4) -2603*a(n-5) -3429*a(n-6) +1157*a(n-7) +8303*a(n-8) +14076*a(n-9) +9383*a(n-10) +1417*a(n-11) -8498*a(n-12) -5299*a(n-13) -7573*a(n-14) -7142*a(n-15) -9163*a(n-16) -1007*a(n-17) +3161*a(n-18) +384*a(n-19) +3327*a(n-20) +172*a(n-21) +2940*a(n-22) -289*a(n-23) -28*a(n-24) -324*a(n-25) +42*a(n-26) +28*a(n-27) for n>28

Example

Some solutions for n=5
..0..1..0..1. .0..1..1..0. .0..1..1..0. .0..0..1..0. .0..1..1..1
..1..1..1..0. .1..1..0..0. .0..1..0..0. .1..0..1..0. .0..1..1..0
..0..1..0..1. .1..1..0..1. .1..1..1..0. .1..0..1..1. .1..1..0..0
..1..0..1..0. .0..0..1..0. .0..1..0..1. .1..0..0..1. .0..0..0..1
..1..0..0..1. .1..0..1..1. .1..0..0..0. .0..0..1..0. .0..1..0..0

Crossrefs

Cf. A316282.

Sequence in context: A036901 A258355 A304423 * A305957 A317218 A053997

Adjacent sequences: A316275 A316276 A316277 * A316279 A316280 A316281

Keyword

nonn

Author

R. H. Hardin, Jun 28 2018

Status

approved